### Abstract

Multi-particle form factors of local operators in integrable models in two dimensions seem to have the property that they factorize when one subset of the particles in the external states are boosted by a large rapidity with respect to the others. This remarkable property, which goes under the name of form factor clustering, was first observed by Smirnov in the O(3) non-linear σ-model and has subsequently found useful applications in integrable models without internal symmetry structure. In this paper we conjecture the nature of form factor clustering for the general O (n) σ-model and make some tests in leading orders of the 1 / n expansion and for the special cases n = 3, 4.

Original language | English |
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Pages (from-to) | 259-309 |

Number of pages | 51 |

Journal | Nuclear Physics B |

Volume | 778 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 3 2007 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Construction and clustering properties of the 2d non-linear σ-model form factors : O (3), O (4), large n examples.** / Balog, J.; Weisz, Peter.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 778, no. 3, pp. 259-309. https://doi.org/10.1016/j.nuclphysb.2007.03.038

}

TY - JOUR

T1 - Construction and clustering properties of the 2d non-linear σ-model form factors

T2 - O (3), O (4), large n examples

AU - Balog, J.

AU - Weisz, Peter

PY - 2007/9/3

Y1 - 2007/9/3

N2 - Multi-particle form factors of local operators in integrable models in two dimensions seem to have the property that they factorize when one subset of the particles in the external states are boosted by a large rapidity with respect to the others. This remarkable property, which goes under the name of form factor clustering, was first observed by Smirnov in the O(3) non-linear σ-model and has subsequently found useful applications in integrable models without internal symmetry structure. In this paper we conjecture the nature of form factor clustering for the general O (n) σ-model and make some tests in leading orders of the 1 / n expansion and for the special cases n = 3, 4.

AB - Multi-particle form factors of local operators in integrable models in two dimensions seem to have the property that they factorize when one subset of the particles in the external states are boosted by a large rapidity with respect to the others. This remarkable property, which goes under the name of form factor clustering, was first observed by Smirnov in the O(3) non-linear σ-model and has subsequently found useful applications in integrable models without internal symmetry structure. In this paper we conjecture the nature of form factor clustering for the general O (n) σ-model and make some tests in leading orders of the 1 / n expansion and for the special cases n = 3, 4.

UR - http://www.scopus.com/inward/record.url?scp=34447630847&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34447630847&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.03.038

DO - 10.1016/j.nuclphysb.2007.03.038

M3 - Article

AN - SCOPUS:34447630847

VL - 778

SP - 259

EP - 309

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -